The Degas story is a lovely example.
The value you derive from 'culture capital' is subjective, and dependent on what you want it to achieve. Value in itself can be (in some circumstances) a simple equation of:
value = benefits minus cost. And how we engage and support our children to interact, learn, speak etc can have a major benefits without costing the earth.
That's why so many people often question, at the end of spending circa £250k on their child's private education, was it really worth it? (rhetorical question).
They didn't see that you need to work in partnership with the school, your family, surroundings etc to maximise culture capital to its full. I hate the term personally, but it's the on trend label of today I guess...
And you can create it for sure OP by some of the ways PPs are suggesting, if you are clear from the outset what you want this means to you. If it's the ski holidays, money, bling etc that your peers displayed and currently enjoy, then maybe not, given your current circumstances.